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Finding the Third Proportional to 156,270 and 341,940

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Solution

The third proportional to 156,270 and 341,940 is: 748,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,270 : 341,940 = 341,940 : x
  2. Step 2: Convert to fraction form
    156,270/341,940 = 341,940/x
  3. Step 3: Cross multiply
    156,270x = 341,940 × 341,940
  4. Step 4: Simplify right side
    156,270x = 116,922,963,600
  5. Step 5: Solve for x
    x = 116,922,963,600/156,270
  6. Step 6: Final answer
    x = 748,211.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.